# Math 566: Abstract Algebra I

This is an introductory graduate-level course on abstract algebra. The goal of this class is to introduce the basic algebraic structures of groups and rings and discuss their uses and applications. This is the first of a two-semester course, and in the second semester (Math 567) we will be covering modules, fields, and other topics from modern algebra.

## Syllabus

For more details, see the Course Syllabus.

## Books

The textbook series for the course is *Algebra* (2nd ed) by Michael
Artin.

Coming to class is important - some of the material covered in class will not be found in the textbook. The final exam and homework may feature some of these topics as well.

## Office hours

My office is Weber 125, near the tea room. Come find me:

- Monday/Wednesday 12-1 pm
- Thursday 8 pm on Zoom (Meeting ID: 873 0031 2375 Passcode: Symmetry)
- By appointment (Email me at Maria [dot] Gillespie [at] colostate [dot] edu)
- If my office door is open, come in and say hi!

## Homework

The homework will be posted here as the course progresses.

Homework 1. Due Aug 27 in class.

Homework 2. Due Sep 3 in class.

Homework 3. Due Sep 10 in class.

Homework 4. Due Sep 17 in class.

Homework 5. Due Sep 24 in class.

Homework 6. Due Oct 1 in class.

Homework 7. Due Oct 8 in class.

Homework 8. Due Oct 15 in class.

Homework 9. Due Oct 29 in class (Two week gap).

Homework 10. Due Nov 5 in class.

Homework 11. Due Nov 12 in class.

Homework 12. Due Nov 19 in class.

Homework 13. Due Dec 3 in class (Two week gap).

Homework 14. Due Dec 10 in class.

## Presentations

Each student will give one of the lectures of the course in the week of October 18. See the shared Google doc for the schedule.

## Final Exam

The final exam for this course will also count as the Algebra I qualifier. It will be on Dec 14 at 4-6 PM.

## Grades

Grades will be posted on Canvas, which is pretty much the only thing Canvas will be used for.